Internal problem ID [13132]
Book: Ordinary Differential Equations. An introduction to the fundamentals. Kenneth B. Howell.
second edition. CRC Press. FL, USA. 2020
Section: Chapter 8. Review exercises for part of part II. page 143
Problem number: 30.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [[_linear, `class A`]]
\[ \boxed {y^{\prime }-3 y=12 \,{\mathrm e}^{2 x}} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 17
dsolve(diff(y(x),x)-3*y(x)=12*exp(2*x),y(x), singsol=all)
\[ y \left (x \right ) = \left (-12 \,{\mathrm e}^{-x}+c_{1} \right ) {\mathrm e}^{3 x} \]
✓ Solution by Mathematica
Time used: 0.05 (sec). Leaf size: 19
DSolve[y'[x]-3*y[x]==12*Exp[2*x],y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to e^{2 x} \left (-12+c_1 e^x\right ) \]